Answer:
(264+24√21) in²Step-by-step explanation:
Area of a square = Length * Length
A = L²
Given the length of a square as [tex]2\sqrt{3}+6\sqrt{7}[/tex] inches' The area of the square will be calculated as shown;
[tex]A = (2\sqrt{3}+6\sqrt{7})^2\\\\A = (2\sqrt{3}+6\sqrt{7})(2\sqrt{3}+6\sqrt{7})\\\\A =(2\sqrt{3})(2\sqrt{3})+(2\sqrt{3})(6\sqrt{7})+(6\sqrt{7})(2\sqrt{3})+(6\sqrt{7})(6\sqrt{7})\\\\A = 4\sqrt{9}+12\sqrt{21}+12\sqrt{21}+36\sqrt{49}\\\\A = 4(3)+24\sqrt{21}+36(7)\\ \\A = 12+24\sqrt{21}+252\\\\A = 264+24\sqrt{21}[/tex]
Hence the area of the square is (264+24√21) in²
Can someone explain aswell
Answer:
24 ft²
Step-by-step explanation:
find the length of the base of each triangle through a² + b² = c², c being hypotenuse.
after finding the length of each individual base, use A= 1/2bh (multiply base and height and then divide by 2) to calculate area of each triangle. then add and round. hope this helps
These triangles are scaled copies of each other.
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
Answer/Step-by-step explanation:
Recall: the ratio of the areas of two similar figures = the square of the ratio of the corresponding sides of the similar figures.
This will give us the scale factor.
The scale factor indicates how many times larger the second triangle is than the area of the first.
Let's find how many times larger is the area of the second triangle is to the first:
1. ∆ G And ∆ F
[tex] \frac{Area_{F}}{Area_{G}} = \frac{side_{F}^2}{side_{G}^2} [/tex]
[tex] \frac{Area_{F}}{Area_{G}} = \frac{6^2}{3^2} [/tex]
[tex] = \frac{36}{9} = 4 [/tex]
∆F is 4 times larger than ∆G
2. ∆ G And ∆ B
[tex] \frac{Area_{B}}{Area_{G}} = \frac{side_{B}^2}{side_{G}^2} [/tex]
[tex] \frac{Area_{B}}{Area_{G}} = \frac{2^2}{4^2} [/tex]
[tex] = \frac{4}{16} = 0.25 [/tex]
∆B is 0.25 times ∆G
3. ∆ B And ∆ F
[tex] \frac{Area_{G}}{Area_{B}} = \frac{side_{F}^2}{side_{B}^2} [/tex]
[tex] \frac{Area_{F}}{Area_{B}} = \frac{8^2}{2^2} [/tex]
[tex] = \frac{64}{4} = 4 [/tex]
∆F is 16 times larger than ∆B
4. ∆ F And ∆ H
[tex] \frac{Area_{H}}{Area_{F}} = \frac{side_{H}^2}{side_{F}^2}} [/tex]
[tex] \frac{Area_{H}}{Area_{F}} = \frac{2^2}{6^2} [/tex]
[tex] = \frac{4}{36} = \frac{1}{9} [/tex]
∆H is ⅑ times ∆F
5. ∆ G And ∆ H
[tex] \frac{Area_{H}}{Area_{G}} = \frac{side_{H}^2}{side_{G}^2} [/tex]
[tex] \frac{Area_{H}}{Area_{G}} = \frac{2^2}{3^2} [/tex]
[tex] = \frac{4}{9} [/tex]
∆G is 4/9 times ∆G
6. ∆ H And ∆ B
[tex] \frac{Area_{B}}{Area_{H}} = \frac{side_{B}^2}{side_{H}^2} [/tex]
[tex] \frac{Area_{B}}{Area_{H}} = \frac{1.5^2}{2^2} [/tex]
[tex] = \frac{2.25}{4} = 0.6 [/tex] (nearest tenth)
∆B is 0.6 times ∆H
How many gallons of paint are needed to paint the walls of a rectangular prism shaped room that is 20 ft by 13 ft and 8 ft high if 1 gallon of paint covers 40 square feet?
Answer:
20 Gallons of paint are needed.
Step-by-step explanation:
Surface Area of a rectangular prism formula is 2 * length * width + 2 * length * height + 2 * width * height.
Substituting the given values, we get:
SA = 2 * 20 * 13 + 2 * 20 * 8 + 2 * 13 * 8
SA = 1048
Area of the floor is length * width. 20 * 13 = 260
Subtract the area of the floor from SA as we do not paint the floor. 1048 - 260 = 788
The number of gallons of paint is 788 / 40 as each gallon covers 40 sq feet. We round this number up to ensure that we have more than enough paint. 788 / 40 = 19.7. Rounding that to 20.
Therefore, 20 gallons of paint are needed.
What is least to greatest 2/3 0.6 -0.4 -3/5
4/5?
Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
a.c=-6
b.c=-1
c.c=5
d.c=7
Answer is C.
Brian saw 106 birds and half as many squirrels. Which of the following is a good estimation of how many more birds he saw than squirrels?
Answer:
53
Step-by-step explanation:
I need help on this
Answer:
x=28
Step-by-step explanation:
180-42=138 since a triangle adds up to 180
2x+10+3x-12=138 then combine like terms
5x-2=138 add 2 to both sides
5x=140 divide each side by 5
x=28
Malik is planning a 6-day summer vacation trip. He has $840 in savings, and he earns $45 per hour for tutoring. The trip will
cost him $525 for airfare, $780 for food and sightseeing, and $95 per night for the hotel. How many hours must he tutor to
have enough money to pay for the trip?
Answer:
23
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of hours required to tutor to have enough money to pay for the trip is 23 hours.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of days for the summer vacation = 6
Savings = $840
Earnings per hour = $45
Airfare cost = $525
Food and sightseeing = $780
Hotel cost per night = $95
Number of hours = x
We can make an expression.
525 + 780 + 6 x 95 = 840 + 95x
525 + 780 + 570 = 840 + 45x
1875 = 840 + 45x
1875 - 840 = 45x
1035 = 45x
1035/45 = x
x = 23
This means 23 hours.
Thus,
The number of hours required to tutor to have enough money to pay for the trip is 23 hours.
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What is the solution to the following equation 8x-3(2x-4)=3(x-6)
Answer:
X=30
Step-by-step explanation:
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]8x-3(2x-4) = 3(x-6)[/tex]
[tex]8x-6x+12 = 3x-18[/tex]
[tex]2x+12 = 3x-18[/tex]
[tex]2x=3x-30[/tex]
[tex]5x= -30[/tex] Divide by 5 next
[tex]x=-6[/tex]
Hope this helps, have a great day:)
Victor is selling lemonade to raise money for his school. The amount of money collected from his sales each day is summarized in the plot box below. What is the interquartile range of the data
Answer:
7
Step-by-step explanation:
Just put it
Answer:
7
Step-by-step explanation:
Did it in I ready
g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score
Answer: 2.46
Step-by-step explanation:
Formula for x-score is given by :-
[tex]Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
, where [tex]\overline{x}[/tex] = Sample mean , [tex]\mu[/tex]= population mean, [tex]\sigma[/tex] = population standard deviation, n= sample size.
As per given , n=10
[tex]\mu[/tex]= $29,056
[tex]\sigma[/tex] = $3,339
[tex]\overline{x}[/tex] = $31,650
Then,
[tex]z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46[/tex]
Hence, the z-score = 2.46
A car driving at 50 miles per hour drives 2 hours. What distance did it cover?
Answer: It travels 100 miles
Step-by-step explanation:
If it drives 50 miles an hour it would drive 100 miles an hour if it were driving for 2 hours.
Based on the speed of the car and the amount of time it was travelling, the car travelled 100 miles in 2 hours.
The distance that the car travelled can be calculated by:
Distance = Speed x Time
Speed = 50 miles per hour
Time = 2 hours
Distance = 50 x 2
= 100 miles
In conclusion, the car would have gone 100 miles.
Find out more at https://brainly.com/question/22277265.
12a - 6 + 7a - 2a ; a = 4
Need help please
Answer:
62
Step-by-step explanation:
Plug in the value of a in the equation:
12(4) - 6 + 7(4) - 2(4)
Solve 12(4) - 6:
12(4) - 6 = 48 - 6 = 42
Solve 7(4) - 2(4):
7(4) - 2(4) = 28 - 8 = 20
Combine both answers (42+20):
42+20 = 62
Complete answer:
12(4) - 6 + 7(4) - 2(4) = 62
find the solution of 4t - 2 = 9
Answer:
t = 11/4
Step-by-step explanation:
Step 1: Write out equation
4t - 2 = 9
Step 2: Add 2 on both sides
4t = 11
Step 3: Divide both sides by 4
t = 11/4
Answer:
[tex]t = 2\frac{3}{4} \\\\t = 11/4[/tex]
Step-by-step explanation:
[tex]4t -2 =9[/tex]
Collect like terms and simplify
[tex]4t=9+2\\\\4t =11[/tex]
Divide both sides of the equation by 4
[tex]\frac{4t}{4} = \frac{11}{4} \\\\t = \frac{11}{4} \\\\11\div 4 =2 \:remainder\: 3\\\\= 2\frac{3}{4}[/tex]
How is. X^2=36 rational?
Answer:
[tex] {x}^{2} = 36 \\ x = \sqrt{36 } \\ x = 6 \\ it \: is \: rational \: number \: because \: we \: can \: write \: 6as \: 6 \1 \: it \: is \: in \: the \: form \: of \: p \q \: where \: \: q \: i \: not \: equals \: to \: 0[/tex]
hope this will help you.
Which number is equivalent to 4/5?
A. 25
100
B. 0.2
O C.
16
100
D. 0.8
PLEASE HELP ASAP
Answer:
D) 0.8
Step-by-step explanation:
To get this answer, divid 4 by 5! 4 divided by 5 is equivalent to 0.8!
Ora Nation
sela
Barney went to play laser tag for the day and spent a total of $48.75. The laser tag
arena charges $12.50 for the first game and $7.25 for each additional game. The cost
of the first three games is shown below.
Time E
Attempt
7 Hour
1 game
2 games
3 games
$12.50
$19.75
$27.00
The equation to determine the number of additional games, g, Barney played is
7.259 + 12.50 = 48.75
• Solve the equation to determine the number of additional games, g, Barney played
. What is the total number of laser tag games that Barney played?
Barney played a total of
games.
Activate
Answer:
The first blank is g=5 Barney played 6 games of lazer tag
Step-by-step explanation:
7.25g+12.50=48.75
First subtract 12.50 from 48.75
7.25g=36.25
then divide 7.25 from both side
g=5
thats how many games he played that cost 7.25 and he played one game that cost 12.50 so he played 6 games
Evaluate the expression if x= -2 and y= - 4.
3xy + 4
Answer:
28
Step-by-step explanation:
3(-2)(-4)+4=?
(-6)(-4)+4=?
24+4=-28
The diagram shows the preimage ABCD and five reflected images. Match each reflection of ABCD with its Image after
the transformation. Drag the items on the left to the correct location on the right.
Answer:
there is the answer good luck
Choose the option that best completes the sentence.
The amount of energy it takes to lift a box might be a function of:
O A. the weight of the things inside the box.
O B. where the box was shipped from.
O c. the day of the week the box is being lifted.
D. the color of the box.
The correct sentence will be;
⇒ The weight of the things inside the box.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sentence is,
''The amount of energy it takes to lift a box might be a function of;''
Now,
Since, The sentence is,
''The amount of energy it takes to lift a box might be a function of;''
We know that;
The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.
Thus, The correct sentence is;
⇒ The weight of the things inside the box.
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Find the second endpoint of the segment that has an endpoint at (-1, 3) and its midpoint
at (8,-2).
Answer:
(17, -7)
Step-by-step explanation:
you add 9 to the x-value, and subtract 5 from the y-value. If you look closely, you'll see that that's what happens for the first coordinate too. -1+9=8. 3-5=-2. I hope that was helpful for you!
Can someone do this please for me :(
The 1st question says that you should look clearly and it tells you what you need to learn. Use this information with all the other questions
Freddie put an empty bucket underneath a leaking pipe. After 3/4 hours, Freddie collected 1/2 cups of water. What is the rate, in cups per hour, at which the water is leaking from the pipe?
Can someone please help me?
Answer:
2/5 so 4/10
THE ANSWER IS A
Answer:
4/10
Step-by-step explanation:
get a common denominator (which is 10) then subtract
Use linear equation to calculate intercepts. x minus one-half y = negative 4 Complete the table with values for a and b. A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
Answer:
Use linear equation to calculate intercepts.
x minus one-half y = negative 4
Complete the table with values for a and b.
A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
a =
✔ 8
b =
✔ –4
Step-by-step explanation:
those are ur correct answers
Answer:
Use linear equation to calculate intercepts.
x minus one-half y = negative 4
Complete the table with values for a and b.
A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
a =
✔ 8
b =
✔ –4
Step-by-step explanation:
In the diagram which angles are vertical angles
Answer:
angles that are opposite each other when two straight lines intersect.
Step-by-step explanation:
What is the equation of this line?
Answer:
y=4/3x-1
Step-by-step explanation:
Answer:
Yes.
because yea
8p -4p =2p+6 p= Help please
Answer:
[tex]p=3[/tex]
Step-by-step explanation:
[tex]8p-4p=2p+6[/tex]
Solve the left side:
[tex]4p=2p+6[/tex]
Subtract 2p from both sides:
[tex]4p-2p=2p+6-2p[/tex]
[tex]2p=6[/tex]
Divide both sides by 2:
[tex]\frac{2p}{2}=\frac{6}{2}[/tex]
[tex]p=3[/tex]
Answer:
p=3
Step-by-step explanation:
8p-4p=2p+6
4p=2P+6
4p-2p=6
2p=6
P=6/2
p=3 ans
Which expression is equivalent to 21 - (-5)?
O A. -21 + 5
O B. 21 + 5
O C. -21 - 5
O D. 21 - 5
What’s the slope of (6, 12) and (-6,-2)
Answer:
m= 7 / 6
Step-by-step explanation:
we need to start out by plugging in the integers into the formula which is the following:
m= y2 - y1 / x2 - x1
m= -2 - 12 / -6 - 6
then we begin to solve
m= -14 / -12
this is not in its simplest form, so we simplify it
(in this case I simplified by 2)
m= -7 / -6
and because two negatives will give you a positive, your final answer is
m= 7 / 6